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What: One academic year of live instruction and grading for Grade 6 topics.
When: Mon/Tues/Thur, class meets 3x per week
Time: 1:10-2:10 pm (Eastern)
Prerequisites: Successful completion of Grade 5 math skills or by placement test.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Unit 1: Fractions
The meaning of fractions
Equivalent Fractions including reducing
Converting between mixed numbers and improper fractions
Adding, Subtracting, Multiplying and Dividing fractions
Adding, Subtracting, Multiplying and Dividing mixed numbers
Word problems
Find the fractional part of a number
Finding fractions on the number line
Comparing fractions
Unit 2: Ratios and Proportional Relationships
Ratios
Unit Rate
Equivalent Ratios and Tables
Comparing Ratios
Proportions
Ratio and Measurement Units
Unit 3: Decimal Operations
Decimal Place Value
Reading and Comparing Decimals
Finding decimals on the number line
Add and Subtract Multi-Digit Decimals
Multiply and Divide Multi-Digit Decimals
Powers of 10
Unit Price with Decimals
Unit 4: Percent and Factors
Introduction to Percents
Fractions as Percents
Converting between Percents, Fractions, and Decimals
Word Problem Strategies
Greatest Common Factor
Least Common Multiple
Distributive Property and Partial Products
Unit 5: Integers
Positive and Negative Numbers
Adding and Subtracting Integers
Multiplying and Dividing Integers
Absolute Value
Rational Numbers and the Coordinate Plane
Comparing Integers
Writing Inequalities
Unit 6: Coordinate Graphing
Intro to the Coordinate Plane
Symmetry in the Coordinate Plane
Distance in the Coordinate Plane
Unit 7: Exponents and Expressions
Exponents and Order of Operations
Evaluating Expressions
Exponents and Writing Expressions
Writing Algebraic Expressions for Story Problems
Parts of Algebraic Expressions
Unit 8: Equations and Inequalities
Like Terms
Distributive Property
Relationship of Operations
Solving One-Step Equations
Translating and Graphing Inequalities
Solving One-Variable Inequalities
Compound Inequalities
Applications of Inequalities
Unit 9: Geometry
Area of Quadrilaterals
Classifying Triangles
Area of Triangles
The Area of Polygons Through Composition and Decomposition
Volume of Right Rectangular Prisms
Unit 10: Data Displays
Statistical Questions
Dot Plots and Frequency Tables
Circle Graphs
Histograms
Mean, Median, Mode, and Range
Quartiles
Box Plots
What: One academic year of live instruction and grading for Pre-Algebra topics.
When: Tues 11:50am-12:50pm AND Wed/Fri 1:10-2:10pm, class meets 3x per week
Prerequisites: Successful completion of Grade 6 math skills or by placement test.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Units 1-2: Number Sense
Place Value
Integers and Absolute Value
Adding Integers
Adding Rational Numbers
Subtracting Integers
Subtracting Rational Numbers
Rational Word Problems
Multiplying and Dividing Integers
Multiplying and Dividing Rational Numbers
Exponents and Square Roots
Scientific Notation
Order of Operations
Comparing and Ordering Numbers
Unit 3: Expressions
Translating Expressions
Evaluating Expressions
Combining Like Terms
Writing Expressions
Distributive Property
Simplifying Expressions
Factoring Expressions
Adding and Subtracting Linear Expressions
Add, Subtract, and Multiply Monomials
Unit 4: Equations and Inequalities
Solving One Step Equations using Addition and Subtraction
Solving One Step Equations with Rational Numbers
Solving One Step Equation Word Problems
Two Step Equations
Two Step Equation Word Problems
Multi-Step Equations
Unit 5: Inequalities
Graphing and Solving Inequalities
Solving 2-step Inequalities
Translating Inequalities and Word Problems
Unit 6: Ratios and Proportions
Ratios
Unit Rates
Proportions vs Nonproportional Relationships
Solving Proportions
Proportion Word Problems
Scale Factors
Graphing Proportions from Tables
Unit 7: Measurement
Perimeter and Area
Circumference and Area of Circles
Area of Composite Shapes
Surface Area of Prisms
Surface Area of Cylinders
Volume of Prisms
Volume of Cylinders
Word Problems
Unit 8: Percents
Percent Proportions
Percent Equations
Percents and Mental Math
Tax, Tip, Discount, Markup, and Commission
Percent of Change
Simple Interest
Unit 9: Geometry
Naming and Classifying Angles
Measurement of Angles
Adjacent and Vertical Angles
Complementary and Supplementary Angles
Triangles
Quadrilaterals
Unit 10: Probability and Statistics
Probability
Theoretical vs Experimental Probability
Fundamental Counting Principle
Compound Probability
Samples and Populations
Statistical Questions
Mean, Median, Mode, and Range
Stem and Leaf Plots
Histograms
Box and Whisker Plots
What: One academic year of live instruction and grading.
When: Mon/Tues/Thur, class meets 3x per week
Time: 11:00 am -12:00 pm (Eastern)
Prerequisites: Successful completion of Prealgebra math skills or by placement test. Students will be expected to know prior math such as fractions, decimals, and integers without review. Calculator is allowed in this class.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Unit 1: Algebra Basics
The Real Number System
Order of Operations
Evaluating Expressions
Combining Like Terms
Distributive Property
Translating Sentences into Equations and Inequalities
Solving One and Two Step Equations
Graphing and Solving Inequalities
Unit 2: Multi-Step Equations
Solve Equations that Require Multiple Steps
Solve Equations with Variables on Both Sides
Solve Equations that have Zero or Infinite Solutions
Algebraic Proportions
Literal Equations
Word Problems
Solving Multi-Step Inequalities
Compound Inequalities
Unit 3: Relations and Functions
Domain and Range
Functions and the Vertical Line Test
Real World Graphs
Graphing Functions with Tables
Function Notation
Evaluating Functions
Zeros of Functions
Unit 4: Linear Equations
Slope
Slope-Intercept Form
Standard Form
Graphing Linear Equations
x- and y- intercepts
Vertical and Horizontal Lines
Point-Slope Form
Writing Equations of Lines
Unit 5: Parallel and Perpendicular Lines / Applications of Linear Equations
Intro to Parallel and Perpendicular Lines
Writing Equations of Parallel and Perpendicular lines
Writing Equations from Applications
Solving Word Problems using Linear Equations
Unit 6: Systems of Equations and Inequalities
Solve a System of Equations Using Graphing
Solve a System of Equations Using Substitution
Solve a System of Equations Using Elimination
Systems of Equations Word Problems
Linear Inequalities
Systems of Inequalities
Systems of Inequalities Word Problems
Unit 7: Exponents
Adding and Subtracting Monomials
Multiplying Monomials
Powers of Monomials
Dividing Monomials
Negative Exponents
Simplifying Radicals
Square Roots with Variables
Unit 8: Polynomials
Introduction to Polynomials
Multiplying a Monomial with a Polynomial
Multiplying Binomials and Trinomials
Dividing Polynomials by Monomials
Factoring GCF from a Polynomial
Factoring Difference of Squares
Factoring Trinomials
Factor by Grouping
Factoring a Polynomial by a Binomial
Unit 9: Quadratics
Graphing Quadratics
Quadratics in Vertex Form
Quadratic Roots
Solving Quadratics by Factoring
Solving Quadratics using Square Roots
Solving Quadratics using Quadratic Formula
Quadratic Applications
What: One academic year of live instruction and grading.
When: Tues 2:30-3:30pm AND Wed/Thur 3:50-4:50pm, class meets 3x per week
Prerequisites: Successful completion of Algebra 1.
Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.
Scope and Sequence
Unit 1: Refresher and Review (short unit)
The Real Number System
Algebraic Expressions
Fractions in Algebra
Solving Equations
Translating Word Problems
Unit 2: Solving Linear Equations
Solving Equations
Translating Word Problems
Literal Equations
Solving Coin, Ticket, Mixture, and Motion Word Problems
Inequalities
Compound Inequalities
Absolute Value Equations
Absolute Value Inequalities
Unit 3: Graphs and Functions
Graphing Lines
Slope-Intercept Form
Graphing Linear Inequalities
Relations and Functions
Evaluating Functions
Vertical Line Test
Piecewise Functions
Unit 4: Systems of Linear Equations and Inequalities
Solving Systems of Equations
Solving Applications with Systems of Equations
Systems of Equations Mixture Problems
Systems of Equations with 3 Variables
Systems of Inequalities
Unit 5: Polynomials and Polynomial Functions
Adding and Subtracting Polynomials
Properties of Exponents
Scientific Notation
Multiplying Polynomials
Dividing Polynomials (long division and synthetic)
Unit 6: Factoring
Factor GCF and Grouping
Factoring Trinomials
Factoring Special Cases
Factor Completely
Solving Quadratic Equations using Factoring
Unit 7: Rational Expressions and Functions
Products and Quotients of Rational Expressions
Adding and Subtracting Rational Expressions
Simplifying Complex Rational Expressions
Solving Rational Equations
Applications with Rational Equations
Rational Inequalities
Unit 8: Roots and Radicals
Simplifying Expressions with Roots
Simplifying Radical Expressions
Rational Exponents and Radicals
Operations with Radical Expressions
Dividing with Radicals
Radical Equations
Radical Functions
Complex Numbers and Powers of i
Unit 9: Quadratic Equations and Functions
Solving Quadratics by Square Roots
Completing the Square
Quadratic Formula
Applications of Solving Quadratics
Graphing Quadratic Equations
Transforming Quadratic Graphs
Quadratic Inequalities
Unit 10: Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithms
Properties of Logarithms
Solving Exponential and Logarithmic Equation